283428288 has 448 divisors, whose sum is σ = 1037783040. Its totient is φ = 74649600.

The previous prime is 283428269. The next prime is 283428307. The reversal of 283428288 is 882824382.

It is a happy number.

283428288 is a `hidden beast` number, since 28 + 342 + 8 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (283428269) and next prime (283428307).

It is a super-2 number, since 2×283428288² = 160663188877221888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7660206 + ... + 7660242.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^283428288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518891520).

283428288 is an abundant number, since it is smaller than the sum of its proper divisors (754354752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

283428288 is a wasteful number, since it uses less digits than its factorization.

283428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 283428288 is about 16835.3285682222. The cubic root of 283428288 is about 656.8724758224.

The spelling of 283428288 in words is "two hundred eighty-three million, four hundred twenty-eight thousand, two hundred eighty-eight".